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Finding the Fourth Proportional to 402.41, 555.29 and 225.37

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Solution

The fourth proportional to 402.41, 555.29 and 225.37 is: 310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.41 : 555.29 = 225.37 : x
  2. Step 2: Convert to fraction form
    402.41/555.29 = 225.37/x
  3. Step 3: Cross multiply
    402.41x = 555.29 × 225.37
  4. Step 4: Simplify right side
    402.41x = 125,145.71
  5. Step 5: Solve for x
    x = 125,145.71/402.41
  6. Step 6: Final answer
    x = 310.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.